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A quantity which gives the inclination of a curve or line with respect to another curve or line. For a Line in the Plane making an Angle $\theta$ with the x-Axis, the Slope $m$ is a constant given by

m \equiv {\Delta y\over \Delta x}= \tan\theta,

where $\Delta x$ and $\Delta y$ are changes in the two coordinates over some distance. It is meaningless to talk about the slope in 3-D unless the slope with respect to what is specified.

© 1996-9 Eric W. Weisstein